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Simplifying 7x + -45 + -9x = 9(x + -5) Reorder the terms: -45 + 7x + -9x = 9(x + -5) Combine like terms: 7x + -9x = -2x -45 + -2x = 9(x + -5) Reorder the terms: -45 + -2x = 9(-5 + x) -45 + -2x = (-5 * 9 + x * 9) -45 + -2x = (-45 + 9x) Add '45' to each side of the equation. -45 + 45 + -2x = -45 + 45 + 9x Combine like terms: -45 + 45 = 0 0 + -2x = -45 + 45 + 9x -2x = -45 + 45 + 9x Combine like terms: -45 + 45 = 0 -2x = 0 + 9x -2x = 9x Solving -2x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2x + -9x = 9x + -9x Combine like terms: -2x + -9x = -11x -11x = 9x + -9x Combine like terms: 9x + -9x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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